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相关概念视频

Deflection of a Beam01:19

Deflection of a Beam

197
Accurately determining beam deflection and slope under various loading conditions in structural engineering is crucial for ensuring safety and structural integrity. Singularity functions offer a streamlined approach to analyzing beams, especially when multiple loading functions complicate the bending moment equation.
Singularity functions, described in an earlier lesson, are powerful mathematical tools that represent discontinuities within a function commonly encountered in structural loading...
197
Beams with Unsymmetric Loadings01:17

Beams with Unsymmetric Loadings

97
Analyzing a supported beam under unsymmetrical loadings is essential in structural engineering to understand how beams respond to varied force distributions. This analysis involves calculating the deflection and identifying points where the slope of the beam is zero, which are crucial for ensuring structural stability and functionality.
The first moment-area theorem determines the slope at any point on the beam. This theorem indicates that the change in slope between two points on a beam...
97
Elastic Curve from the Load Distribution01:16

Elastic Curve from the Load Distribution

140
The structural behavior of beams under distributed loads is critical for engineering analysis, which focuses on predicting how beams bend and react under such conditions. Different types of beams (e.g., cantilever, supported, or overhanging) behave differently under distributed load conditions.
For all beams, the analysis of the beam's reaction to distributed loads begins by understanding the relationship between a beam's load and the resulting shear forces and bending moments.
140
Linear Approximation in Frequency Domain01:26

Linear Approximation in Frequency Domain

79
Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....
79
Linear Approximation in Time Domain01:21

Linear Approximation in Time Domain

53
Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
53
Prismatic Beams: Problem Solving01:15

Prismatic Beams: Problem Solving

99
In the design of a supported timber beam subjected to a distributed load, both the beam's physical dimensions and the timber's characteristics, such as its grade and species, are critical. These factors determine the allowable stress values, which are crucial for calculating the necessary beam depth to ensure structural integrity and safety.
The design begins with analyzing the beam as a free body to identify moments and force balances, thereby determining support reactions. Next, the...
99

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相关实验视频

Updated: May 10, 2025

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
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合成一个固定长度的均空间线性数组,以产生具有深度零值的多尔夫-切比舍夫图案,所需的侧叶水平和不同的光束宽度的侧叶水平.

Ibai Otero-Gómez1, María Elena López-Martín2, Juan Antonio Rodríguez-González1

  • 1Department of Applied Physics, University of Santiago de Compostela, 15782 Santiago de Compostela, Spain.

Sensors (Basel, Switzerland)
|April 28, 2025
PubMed
概括

本研究提出了一种新的天线阵列合成方法,扩展了Orchard-Elliott-Stern技术. 该方法实现了减少侧叶片和适应性光束宽度用于无线通信.

关键词:
杜尔夫·切比舍夫 (Dolph Chebyshev) 是一个著名的演员.一个天线天线天线.阵列数组是一个数组.波束宽度 波束宽度模式合成模式合成

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Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
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科学领域:

  • 电气工程 电气工程
  • 电磁学 电磁学 电磁学 电磁学
  • 天线理论天线理论

背景情况:

  • 天线阵列合成对于指导无线电波至关重要.
  • 像Orchard-Elliott-Stern这样的现有方法在控制辐射模式方面存在局限性.
  • 实现低侧叶水平 (SLL) 和适应性光束宽度对于现代无线系统至关重要.

研究的目的:

  • 介绍一个扩展的Orchard-Elliott-Stern技术用于天线阵列合成.
  • 在Shelkunoff单位圆上探索具有特定根配置的辐射模式.
  • 为了使天线阵列的设计具有减少的侧叶和可控制的光束宽度.

主要方法:

  • 果园-埃利奥特-斯特恩技术的扩展.
  • 使用Shelkunoff单位圆的负实轴上的三个根 (一个在,两个在r和1/r处).
  • 适用于具有不同元素数 (10,18,40) 和 λ/2 间距的多尔夫-切比舍夫图案.

主要成果:

  • 该方法允许通过改变"r"来为所需的SLL提供多个解决方案,从而产生不同的振幅比.
  • 结果的辐射模式显示,与传统方法相比,侧叶数减少了两个.
  • 从小到大,在各种数组大小中证明了适用性.

结论:

  • 这种技术为天线阵列合成提供了一种灵活的方法.
  • 它有效地减少了侧叶,并提供了对光束宽度和定向性的控制.
  • 这些发现直接适用于需要低SLL和自适应光束宽度模式的无线通信.